How Do You Pronounce Complex Mathematical Expressions in English?

[SalomeH]

I apologise for choosing not so related topic, but I could'n find better one. I will have to read some math expressions in English for audience and I'm not sure how to say it. And when I ask English teacher, they don't know what it means in the first place and can't give me any advise either. Could you please help me?

Example: a² = a squared
a×b = a cross b
a+b = a plus b etc.

These I don't know for sure how to say:
aⁿ
|r₁-r₂|
∫_a^bf(x)dx
d²y/dx² (second derivative?)
∂y/∂x
a/b

 

[Millennial]

1. a to the (power of) n OR a to the nth
2. Absolute value of the difference of r one and r two
3. Integral from a to b of f of x dx
4. Second derivative of y with respect to x
5. Partial derivative of y with respect to x
6. a over b

 

[SalomeH]

Thank you very much!

 

[haruspex]

2. Absolute value of the difference of r one and r two

Looks like the OP intended vectors here, so I would say "modulus of r one minus r two".